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Finding the Fourth Proportional to 384,602.85, 577,020.78 and 272,499.93

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Solution

The fourth proportional to 384,602.85, 577,020.78 and 272,499.93 is: 408,832.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,602.85 : 577,020.78 = 272,499.93 : x
  2. Step 2: Convert to fraction form
    384,602.85/577,020.78 = 272,499.93/x
  3. Step 3: Cross multiply
    384,602.85x = 577,020.78 × 272,499.93
  4. Step 4: Simplify right side
    384,602.85x = 157,238,122,158.55
  5. Step 5: Solve for x
    x = 157,238,122,158.55/384,602.85
  6. Step 6: Final answer
    x = 408,832.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.